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The integral int(1)/((1+sqrt(x))sqrt(x-x...

The integral `int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx` is equal to (where C is the constant of integration)

A

`(sqrtx+1)/(sqrt(1-x))+C`

B

`2((sqrtx-1)/(sqrt(1+x)))+C`

C

`2((sqrtx-1)/(sqrt(1-x)))+C`

D

`(sqrtx+1)/(sqrt(1+x))+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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